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Length of train = 150 m
Let’s take the length of the train to be X and the speed of the train to be V m/s.
(150+X) = V*15
Similarly
(250+X) = V*20
Dividing both equations and cancelling V, we get
(150+X)/(250+X) = 3/4
600+4X = 750+3X
X=150
length of train = 150 m